Bulletin of Pure & Applied Sciences- Mathematics and Statistics

This paper presents a procedure for efficient generation of threedimensional unstructured meshes of tetrahedral elements. Initially, a constrained delaunay mesh is generated where in internal points are created using advancing-front point placement and are inserted using a Delaunay method. The overall procedure is applied repetitively until the mesh satisfies a desired element size distribution function. The algorithm combines the advantages of efficiency and nice mathematical properties of a Delaunay approach with advancing-front high-quality point placement strategy. Mesh quality and statistics are presented for a variety of three-dimensional examples. The proposed method can be extended to isotropic or anisotropic adaptive mesh generation.